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Finding the Fourth Proportional to 132.32, 197.94 and 113.06

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Solution

The fourth proportional to 132.32, 197.94 and 113.06 is: 169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.32 : 197.94 = 113.06 : x
  2. Step 2: Convert to fraction form
    132.32/197.94 = 113.06/x
  3. Step 3: Cross multiply
    132.32x = 197.94 × 113.06
  4. Step 4: Simplify right side
    132.32x = 22,379.10
  5. Step 5: Solve for x
    x = 22,379.10/132.32
  6. Step 6: Final answer
    x = 169.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.